To solve each of these equations, we need to simplify each expression step by step.
1) 2m + 235 + 4m - 125 - 5m = 1998 Combine like terms 2m + 4m - 5m = 235 - 125 = 11 So the equation becomes: m + 110 = 1998 Subtract 110 from both sides m = 19870
2) (7x - 15) = 5 Add 15 to both sides 7x = 6 Divide by 7 on both sides x = 9
3) 285 - (x/14) - 481 = 36* Divide x by 14 285 - (x/14) - 481 = 21 Combine like terms 285 - 481 = -19 Substitute -196 into the equation -196 - (x/14) = 21 Multiply by 14 on both sides -2744 - x = 302 Add x to both sides -2744 = 3024 + Subtract 3024 from both sides -5768 = x
4) 3 (7 + 42) - 8x = 404 Calculate the inner parentheses first 3 49 - 8x = 404 Multiply 147 - 8x = 404 Subtract 147 from both sides -8x = 389 Divide by -8 x = -486.75
So the solutions are: m=19870, x=9, x=-5768, x=-486.75.
To solve each of these equations, we need to simplify each expression step by step.
1) 2m + 235 + 4m - 125 - 5m = 1998
Combine like terms
2m + 4m - 5m =
235 - 125 = 11
So the equation becomes: m + 110 = 1998
Subtract 110 from both sides
m = 19870
2) (7x - 15) = 5
Add 15 to both sides
7x = 6
Divide by 7 on both sides
x = 9
3) 285 - (x/14) - 481 = 36*
Divide x by 14
285 - (x/14) - 481 = 21
Combine like terms
285 - 481 = -19
Substitute -196 into the equation
-196 - (x/14) = 21
Multiply by 14 on both sides
-2744 - x = 302
Add x to both sides
-2744 = 3024 +
Subtract 3024 from both sides
-5768 = x
4) 3 (7 + 42) - 8x = 404
Calculate the inner parentheses first
3 49 - 8x = 404
Multiply
147 - 8x = 404
Subtract 147 from both sides
-8x = 389
Divide by -8
x = -486.75
So the solutions are: m=19870, x=9, x=-5768, x=-486.75.